101132110030110 has 96 divisors (see below), whose sum is σ = 257966723570400. Its totient is φ = 25369149216768.

The previous prime is 101132110030109. The next prime is 101132110030111. The reversal of 101132110030110 is 11030011231101.

It is an interprime number because it is at equal distance from previous prime (101132110030109) and next prime (101132110030111).

It is a super-2 number, since 2×101132110030110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101132110030110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132110030111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13905372 + ... + 19890288.

It is an arithmetic number, because the mean of its divisors is an integer number (2687153370525).

Almost surely, 2^{101132110030110} is an apocalyptic number.

101132110030110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101132110030110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128983361785200).

101132110030110 is an abundant number, since it is smaller than the sum of its proper divisors (156834613540290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101132110030110 is a wasteful number, since it uses less digits than its factorization.

101132110030110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986910 (or 5986893 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101132110030110 its reverse (11030011231101), we get a palindrome (112162121261211).

The spelling of 101132110030110 in words is "one hundred one trillion, one hundred thirty-two billion, one hundred ten million, thirty thousand, one hundred ten".